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Finding the Fourth Proportional to 296.78, 445.24 and 91.36

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Solution

The fourth proportional to 296.78, 445.24 and 91.36 is: 137.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.78 : 445.24 = 91.36 : x
  2. Step 2: Convert to fraction form
    296.78/445.24 = 91.36/x
  3. Step 3: Cross multiply
    296.78x = 445.24 × 91.36
  4. Step 4: Simplify right side
    296.78x = 40,677.13
  5. Step 5: Solve for x
    x = 40,677.13/296.78
  6. Step 6: Final answer
    x = 137.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.